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There are 6 trigonometrical ratios (sine, …

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There are 6 trigonometrical ratios (sine, cosine, tangent, cotangent, secant and cosecant) and the values ofthese trigonometrical ratios can be calculated for angleslike 0°, 30°, 45°, 60° and 90°by drawing a right angled triangle and an isoscelesright triangle. (See the fig. below) In equilateral triangle, each angle is of 60°, so we can find the values of angles of 30° and 60°. In Isosceles Right Triangle, the value for 45° can be calculated. For 0° and 90° any one of them can be used. In Equilateral Triangle, the length of altitude is x√2 if the side of Equilateral Triangle is x unit. Using above concept, solve questions number 1 and 2 1. Determine the value of x if 2cosec²30° + x.sin²60° - ? ? tan²30° = 10
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